Nuprl Lemma : three-cs-decided_wf
∀[V:Type]. ∀[A:Id List]. ∀[t:ℕ+]. ∀[f:(V List) ⟶ V]. ∀[v:V]. ∀[s:{a:Id| (a ∈ A)} ⟶ (consensus-rcv(V;A) List)].
(three-cs-decided(V;A;t;f;s;v) ∈ ℙ)
Proof
Definitions occuring in Statement :
three-cs-decided: three-cs-decided(V;A;t;f;s;v),
consensus-rcv: consensus-rcv(V;A),
Id: Id,
l_member: (x ∈ l),
list: T List,
nat_plus: ℕ+,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
three-cs-decided: three-cs-decided(V;A;t;f;s;v),
so_lambda: λ2x.t[x],
prop: ℙ,
and: P ∧ Q,
nat_plus: ℕ+,
all: ∀x:A. B[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
exists: ∃x:A. B[x]
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[t:\mBbbN{}\msupplus{}]. \mforall{}[f:(V List) {}\mrightarrow{} V]. \mforall{}[v:V].
\mforall{}[s:\{a:Id| (a \mmember{} A)\} {}\mrightarrow{} (consensus-rcv(V;A) List)].
(three-cs-decided(V;A;t;f;s;v) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-00_44_36
Last ObjectModification:
2015_12_29-PM-01_36_43
Theory : event-ordering
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